Rewrite the expression with rational exponents as a radical expression.

4 times x to the three sevenths power

4 times the seventh root of x cubed
4 times the cube root of x to the power of 7
seventh root of the quantity 4 times x cubed
cube root of the quantity 4 times x to the power of 7

Respuesta :

Answer:

If the expression is [tex]4x^\frac{3}{7}[/tex], then the answer is the first option.

If the expression is [tex](4x)^\frac{3}{7}[/tex], then the answer is the third option.

Step-by-step explanation:

Remember that when you have a radical expression in the form [tex]\sqrt[n]{x}[/tex], you can rewrite as:

[tex]=x^\frac{1}{n}[/tex]

Then:

- If the expression is [tex]4x^\frac{3}{7}[/tex], then you can rewrite it in the following radical form:

[tex]=4\sqrt[7]{x^3}[/tex] (This form matches with the first option.)

- If the expression is [tex](4x)^\frac{3}{7}[/tex], then you can rewrite it in the following radical form:

[tex]=\sqrt[7]{(4x)^3}[/tex] (This form matches with the third option).

Answer:

c

Step-by-step explanation: